Use the limit comparision test to determine if the series converqes 284n 357n5 277 n ba where [A] When performing the limit comparison test, the best series to compare with would be 1 284n4 ат where an and b from above. No decimal entries. [B) Find the lim 357n5 n- 277 а, lim 00 b [C] Based upon the result of the limit comparison test the conclusion as regards to the series Test is inconclusive Diverges Converges

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The issue of convergence or divergence of some series can be answered by several different approaches (series tests), and each would give the answer independently. k2 Consider the series E- Answer the questions below regarding some of the tests one might try in order to determine whether the series converges or diverges. k = 1 (e) Would the ratio test be conclusive here? Select the correct choice below and, it necessary, till in the answer box within your choice. O A. Applying the ratio test gives r= 1. Therefore, the ratio test is inconclusive. O B. Applying the ratio test gives r= (type an exact value, or o or – o0). Since r 1, the series DIVERGES by the ratio test. (f) Can the alternating series test be applied here? Select the correct choice below and, if necessary, fill in the answer box within your choice. For this one, we let a, be the m O A. This is an alternating series and hence the alternating series test can be applied. It is clear that the terms a, are decreasing and that…

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